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a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?​

User TimWhiting
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1 Answer

4 votes

Answer:

y=x-3

Explanation:

Equation of the line

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:

y=mx+b

15=(1)(18)+b

We have used the value m=1. Operating:

15=18+b

Solving:

b=-3

Thus, the equation of the line in slope-intercept form is:

y=x-3

User Lars Flieger
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5.6k points